Search a number
-
+
535706568 = 23338329881
BaseRepresentation
bin11111111011100…
…011101111001000
31101100000201021000
4133323203233020
52044120102233
6125054015000
716163300505
oct3773435710
91340021230
10535706568
11255435301
1212b4a7460
1386ca7647
145120c4ac
153206cd13
hex1fee3bc8

535706568 has 64 divisors (see below), whose sum is σ = 1506052800. Its totient is φ = 176411520.

The previous prime is 535706543. The next prime is 535706623. The reversal of 535706568 is 865607535.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2988 + ... + 32868.

It is an arithmetic number, because the mean of its divisors is an integer number (23532075).

Almost surely, 2535706568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 535706568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753026400).

535706568 is an abundant number, since it is smaller than the sum of its proper divisors (970346232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

535706568 is a wasteful number, since it uses less digits than its factorization.

535706568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29979 (or 29969 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The square root of 535706568 is about 23145.3357720298. The cubic root of 535706568 is about 812.1613606701.

The spelling of 535706568 in words is "five hundred thirty-five million, seven hundred six thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 83 108 166 216 249 332 498 664 747 996 1494 1992 2241 2988 4482 5976 8964 17928 29881 59762 89643 119524 179286 239048 268929 358572 537858 717144 806787 1075716 1613574 2151432 2480123 3227148 4960246 6454296 7440369 9920492 14880738 19840984 22321107 29761476 44642214 59522952 66963321 89284428 133926642 178568856 267853284 535706568